Consider the following statements : 1. If is the subset of defined by , then is a function from to . 2. If is the subset of defined by , then is a function from to . Which of the statements given above is/are correct?

Question

SquadPrep · Accepted Answer

Neither 1 nor 2. For statement 1, choosing gives and choosing gives . Since input has multiple outputs, it is not a function. For statement 2, choosing gives and gives . Again, the input has multiple outputs, so it is not a function. Both statements are incorrect.

Answer

1 only

Answer

2 only

Answer

Both 1 and 2

Consider the following statements : 1. If f is the subset of Z\times Z defined by f=\{(xy,x-y);x,y\in Z\}, then f is a function from Z to Z. 2. If f is the subset of N\times N defined by f=\{(xy,x+y);x,y\in N\}, then f is a function from N to N. Which of the statements given above is/are correct?

Explanation

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